1011121223232 has 112 divisors (see below), whose sum is σ = 2689967362752. Its totient is φ = 335189729280.

The previous prime is 1011121223197. The next prime is 1011121223249. The reversal of 1011121223232 is 2323221211101.

1011121223232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011121223232² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011121223199 and 1011121223208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58044988 + ... + 58062404.

Almost surely, 2^{1011121223232} is an apocalyptic number.

1011121223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011121223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344983681376).

1011121223232 is an abundant number, since it is smaller than the sum of its proper divisors (1678846139520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011121223232 is a wasteful number, since it uses less digits than its factorization.

1011121223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19076 (or 19066 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1011121223232 its reverse (2323221211101), we get a palindrome (3334342434333).

The spelling of 1011121223232 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twenty-three thousand, two hundred thirty-two".